Solve for t -2(t+7)=-4t+12

$- 2 (t + 7) = - 4 t + 12$

Simplify $- 2 (t + 7)$ .

Rewrite.

$0 + 0 - 2 (t + 7) = - 4 t + 12$

Simplify by adding zeros.

$- 2 (t + 7) = - 4 t + 12$

Apply the distributive property.

$- 2 t - 2 \cdot 7 = - 4 t + 12$

Multiply $- 2$ by $7$ .

$- 2 t - 14 = - 4 t + 12$

Move all terms containing $t$ to the left side of the equation.

Add $4 t$ to both sides of the equation.

$- 2 t - 14 + 4 t = 12$

Add $- 2 t$ and $4 t$ .

$2 t - 14 = 12$

Move all terms not containing $t$ to the right side of the equation.

Add $14$ to both sides of the equation.

$2 t = 12 + 14$

Add $12$ and $14$ .

$2 t = 26$

Divide each term in $2 t = 26$ by $2$ and simplify.

Divide each term in $2 t = 26$ by $2$ .

$\frac{2 t}{2} = \frac{26}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 t}{2} = \frac{26}{2}$

Divide $t$ by $1$ .

$t = \frac{26}{2}$

Simplify the right side.

Divide $26$ by $2$ .

$t = 13$